On the removability of isolated singular points for degenerating nonlinear elliptic equations

Isolated singularities of positive solutions of p-Laplacian type equations inRd

“…16) For bounded potentials the above result is due to [11,20]. The assumptions on V can be further weakened to nearly optimal classes.…”

“…The quasilinear Kato class in Ω is defined and studied in [10,[14][15][16] using the Wolff potential. We note that if V ∈ L ∞ (Ω \ {ζ }) belongs to Kato class near ζ , then V belongs to the Kato class in Ω.…”

“…The assumptions on V can be further weakened to nearly optimal classes. In particular, the removability of isolated singularity has been studied under the assumptions that p d, and V belongs to certain (Kato) classes of functions or measures; see [8,10,[14][15][16]18] and the references therein.…”

On removable singularities for solutions of Neumann problem for elliptic equations involving variable exponent

“…We follow the same lines as in [4] and [6]; which handle the case when the singular set is an interior point of Ω, and the solution of an elliptic equation u has no boundary conditions.…”

Isolated singularities of positive solutions of p-Laplacian type equations in R^d

“…Remark 1.6. The quasilinear Kato class in Ω is defined and studied in [10,14,15,16] using the Wolff potential. We note that if V ∈ L ∞ (Ω \ {ζ}) belongs to Kato class near ζ, then V belongs to the Kato class in Ω.…”